684/984 Simplified

Learn how to find what is 684/984 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 684/984 in simplest form.

To simplify 684/984 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 684/984 can be reduced in simplest form. In this case, the greatest common divisor of 684 and 984 is 12. Dividing both the numerator and denominator by GCD, the fraction 684/984 becomes 57/82 which is the simplest form.

Simplify 684/984 as a Fraction
Using Factorization:
684/984 = (?)
684/984 = (2 x 2 x 3 x 3 x 19)/(2 x 2 x 2 x 3 x 41)      //write 684/984 in terms of factors
= 57/82
684/984 = 57/82
684/984 simplified is 57/82

Using GCD:
684/984 = (?)
GCD of 684 and 984 is 12.
684/984 = (684/12)/(984/12)
= 57/82
684/984 = 57/82
684/984 simplified is 57/82 in fraction form
where,
684/984 is the given fraction to be simplified,
57/82 is the lowest term of 684/984.

Notes: Simplify 684/984 in lowest terms
1. 684/984 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 684 and 984 is 12 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 684/984 can be represented in its reduced form.
2. On the other hand, you can also reduce 684/984 in simplest form by using the factorization method. In this case, the numerator and denominator of fraction should be written in the form of prime factors, so the fraction 684/984 becomes (2 x 2 x 3 x 3 x 19)/(2 x 2 x 2 x 3 x 41). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 684/984 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 684/984

what to be found:
684/984 = ?
Simplify 684/984 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 684/984.
Prime factors of 684 = 2 x 2 x 3 x 3 x 19

step 3 Find the prime factors of the denominator of given fraction 684/984.
Prime factors of 984 = 2 x 2 x 2 x 3 x 41

step 4 Rewrite the fraction 684/984 in the form of prime factors as like the below:
684/984= (2 x 2 x 3 x 3 x 19) / (2 x 2 x 2 x 3 x 41)

step 5 Check and reduce the factors of 684 and 984 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 3 x 3 x 19) / (2 x 2 x 2 x 3 x 41)
= ( 3 x 19)/( 2 x 41)
684/984 = 57/82

Hence,
684/984 in simplest form is 57/82.

Representing fraction 684/984 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 684/984 in its lowest terms.